translate the line segment with endpoints 0,0 and 5,4 and 3 units and left 2 units

To translate the line segment with endpoints (0,0) and (5,4) 3 units up and 2 units to the left, we can add or subtract the values to the corresponding coordinates.

First, let's translate 3 units up. The new endpoints will be:
(0,0) + (0,3) = (0,3)
(5,4) + (0,3) = (5,7)

Now, let's translate 2 units to the left. The new endpoints will be:
(0,3) - (2,0) = (-2,3)
(5,7) - (2,0) = (3,7)

Therefore, the translated line segment has endpoints (-2,3) and (3,7).